Adaptive mesh refinement versus subgrid friction interpolation in simulations of Antarctic ice dynamics

At least in conventional hydrostatic ice-sheet models, the numerical error associated with grounding line dynamics can be reduced by modifications to the discretization scheme. These involve altering the integration formulae for the basal traction and/or driving stress close to the grounding line an...

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Bibliographic Details
Published in:Annals of Glaciology
Main Authors: Cornford, Stephen, Martin, Daniel, Lee, Victoria, Payne, Tony, Ng, Esmond
Format: Article in Journal/Newspaper
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/1983/527ddf2d-66dd-434e-97b4-98da87fbf7b1
https://research-information.bris.ac.uk/en/publications/527ddf2d-66dd-434e-97b4-98da87fbf7b1
https://doi.org/10.1017/aog.2016.13
https://research-information.bris.ac.uk/ws/files/106879872/div_class_title_adaptive_mesh_refinement_versus_subgrid_friction_interpolation_in_simulations_of_antarctic_ice_dynamics_div.pdf
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Summary:At least in conventional hydrostatic ice-sheet models, the numerical error associated with grounding line dynamics can be reduced by modifications to the discretization scheme. These involve altering the integration formulae for the basal traction and/or driving stress close to the grounding line and exhibit lower – if still first-order – error in the MISMIP3d experiments. MISMIP3d may not represent the variety of real ice streams, in that it lacks strong lateral stresses, and imposes a large basal traction at the grounding line. We study resolution sensitivity in the context of extreme forcing simulations of the entire Antarctic ice sheet, using the BISICLES adaptive mesh ice-sheet model with two schemes: the original treatment, and a scheme, which modifies the discretization of the basal traction. The second scheme does indeed improve accuracy – by around a factor of two – for a given mesh spacing, but $\lesssim 1$ km resolution is still necessary. For example, in coarser resolution simulations Thwaites Glacier retreats so slowly that other ice streams divert its trunk. In contrast, with $\lesssim 1$ km meshes, the same glacier retreats far more quickly and triggers the final phase of West Antarctic collapse a century before any such diversion can take place.